SUMMARY. The present paper is focused on the dynamic analysis of circular cylindrical shells unde... more SUMMARY. The present paper is focused on the dynamic analysis of circular cylindrical shells under seismic excitation: the excitation direction is the cylinder axis, the shell is clamped at the base and connected to a rigid body on the top, the base provides the seismic excitation ...
This letter is related to the paper of Amabili et al. (1998) and is written for three reasons: (i... more This letter is related to the paper of Amabili et al. (1998) and is written for three reasons: (i) to explain better the approximation on tangential boundary conditions used in this paper, (ii) to complete the literature review therein with additional papers, (iii) to correct a few misprints.
The non-linear dynamics and stability of simply supported, circular cylindrical shells containing... more The non-linear dynamics and stability of simply supported, circular cylindrical shells containing inviscid, incompressible fluid flow is analyzed. Geometric non-linearities of the shell are considered by using the Donnell's non-linear shallow shell theory. A viscous ...
ABSTRACT Nonlinear forced vibrations of water-filled, laminated circular cylindrical shells are s... more ABSTRACT Nonlinear forced vibrations of water-filled, laminated circular cylindrical shells are studied by using the Amabili–Reddy nonlinear higher-order shear deformation theory and energy approach in the Lagrangian description. The fluid is modeled by potential flow. It is assumed that the shell is subjected to a steady harmonic concentrated force acting in the radial direction. Pseudo arc-length continuation and collocation technique is used to carry out bifurcation analysis and to obtain nonlinear frequency–amplitude responses. Direct time integration of the equations of motion has also been performed by using Gear’s backward differentiation formula (BDF) to obtain time histories, phase space diagrams and Poincaré maps. The effect of internal fluid and lamination angle on the frequency–amplitude response in the neighborhood of the resonance frequency, traveling wave solution and internal resonances of simply supported shells are investigated. It is shown that water-filled composite shells may exhibit complex nonlinear dynamics including a rare and intricate 1:1:1:1 internal resonance.
Communications in Nonlinear Science and Numerical Simulation, 2007
The dynamics of a circular cylindrical shell carrying a rigid disk on the top and clamped at the ... more The dynamics of a circular cylindrical shell carrying a rigid disk on the top and clamped at the base is investigated. The Sanders–Koiter theory is considered to develop a nonlinear analytical model for moderately large shell vibration. A reduced order dynamical system is obtained using Lagrange equations: radial and in-plane displacement fields are expanded by using trial functions that respect
SUMMARY. The present paper is focused on the dynamic analysis of circular cylindrical shells unde... more SUMMARY. The present paper is focused on the dynamic analysis of circular cylindrical shells under seismic excitation: the excitation direction is the cylinder axis, the shell is clamped at the base and connected to a rigid body on the top, the base provides the seismic excitation ...
This letter is related to the paper of Amabili et al. (1998) and is written for three reasons: (i... more This letter is related to the paper of Amabili et al. (1998) and is written for three reasons: (i) to explain better the approximation on tangential boundary conditions used in this paper, (ii) to complete the literature review therein with additional papers, (iii) to correct a few misprints.
The non-linear dynamics and stability of simply supported, circular cylindrical shells containing... more The non-linear dynamics and stability of simply supported, circular cylindrical shells containing inviscid, incompressible fluid flow is analyzed. Geometric non-linearities of the shell are considered by using the Donnell's non-linear shallow shell theory. A viscous ...
ABSTRACT Nonlinear forced vibrations of water-filled, laminated circular cylindrical shells are s... more ABSTRACT Nonlinear forced vibrations of water-filled, laminated circular cylindrical shells are studied by using the Amabili–Reddy nonlinear higher-order shear deformation theory and energy approach in the Lagrangian description. The fluid is modeled by potential flow. It is assumed that the shell is subjected to a steady harmonic concentrated force acting in the radial direction. Pseudo arc-length continuation and collocation technique is used to carry out bifurcation analysis and to obtain nonlinear frequency–amplitude responses. Direct time integration of the equations of motion has also been performed by using Gear’s backward differentiation formula (BDF) to obtain time histories, phase space diagrams and Poincaré maps. The effect of internal fluid and lamination angle on the frequency–amplitude response in the neighborhood of the resonance frequency, traveling wave solution and internal resonances of simply supported shells are investigated. It is shown that water-filled composite shells may exhibit complex nonlinear dynamics including a rare and intricate 1:1:1:1 internal resonance.
Communications in Nonlinear Science and Numerical Simulation, 2007
The dynamics of a circular cylindrical shell carrying a rigid disk on the top and clamped at the ... more The dynamics of a circular cylindrical shell carrying a rigid disk on the top and clamped at the base is investigated. The Sanders–Koiter theory is considered to develop a nonlinear analytical model for moderately large shell vibration. A reduced order dynamical system is obtained using Lagrange equations: radial and in-plane displacement fields are expanded by using trial functions that respect
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Papers by Francesco Pellicano